What is log_{2}(x-2)+log_{2}(x+3) ?

The solution to log_{2}(x-2)+log_{2}(x+3) is log_{2}((x-2)(x+3))

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simplify log_{2}(x-2)+log_{2}(x+3)

simplify

lo g_{2} (x - 2) + lo g_{2} (x + 3)

lo g_{2} ((x - 2) (x + 3))

Solution steps

lo g_{2} (x - 2) + lo g_{2} (x + 3)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{2} (x - 2) + lo g_{2} (x + 3) = lo g_{2} ((x - 2) (x + 3))

= lo g_{2} ((x - 2) (x + 3))

lo g_{2} (\frac{27}{3}) - lo g_{2} (\frac{16}{2})

ln (2 x)

lo g_{5} (\frac{x}{25})

lo g_{3} (5 x)

lo g_{10} (\frac{10}{y})

What is log_{2}(x-2)+log_{2}(x+3) ?
The solution to log_{2}(x-2)+log_{2}(x+3) is log_{2}((x-2)(x+3))